10448100 has 216 divisors, whose sum is σ = 37914240. Its totient is φ = 2384640.

The previous prime is 10448099. The next prime is 10448117. The reversal of 10448100 is 184401.

It is a super-2 number, since 2×10448100² = 218325587220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222277 + ... + 222323.

Almost surely, 2^10448100 is an apocalyptic number.

10448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

10448100 is an abundant number, since it is smaller than the sum of its proper divisors (27466140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10448100 is a wasteful number, since it uses less digits than its factorization.

10448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10448100 is about 3232.3520847828. The cubic root of 10448100 is about 218.6145719562.

The spelling of 10448100 in words is "ten million, four hundred forty-eight thousand, one hundred".